Search a number
-
+
47429504 = 273111953
BaseRepresentation
bin1011010011101…
…1011110000000
310022020200001022
42310323132000
544120221004
64412325012
71114100303
oct264733600
9108220038
1047429504
1124855541
1213a73768
139a983c5
146428b3a
15426d2be
hex2d3b780

47429504 has 32 divisors (see below), whose sum is σ = 97544640. Its totient is φ = 22947840.

The previous prime is 47429483. The next prime is 47429539. The reversal of 47429504 is 40592474.

47429504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2009 + ... + 9944.

It is an arithmetic number, because the mean of its divisors is an integer number (3048270).

Almost surely, 247429504 is an apocalyptic number.

It is an amenable number.

47429504 is an abundant number, since it is smaller than the sum of its proper divisors (50115136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47429504 is a wasteful number, since it uses less digits than its factorization.

47429504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11998 (or 11986 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 47429504 is about 6886.9081596897. The cubic root of 47429504 is about 361.9785708141.

The spelling of 47429504 in words is "forty-seven million, four hundred twenty-nine thousand, five hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 11953 23906 47812 95624 191248 370543 382496 741086 764992 1482172 1529984 2964344 5928688 11857376 23714752 47429504